3 papers
math.DG2025
Planarity and convexity for pinched ancient solutions of mean curvature flow
Tang-Kai Lee, Keaton Naff, Jingze Zhu
We prove a parabolically scale-invariant variation of the planarity estimate in \cite{Na22} for higher codimension mean curvature flow, borrowing ideas from work of Brendle--Huiske…
math.DG2024
Bandwidth and focal radius with positive isotropic curvature
Tsz-Kiu Aaron Chow, Jingze Zhu
This paper investigates quantitative metric inequalities for manifolds with positive isotropic curvature (PIC). Our results include upper bounds on the bandwidth and focal radius o…
math.DG2024
Arnold-Thom conjecture for the arrival time of surfaces
Tang-Kai Lee, Jingze Zhu
Following Łojasiewicz's uniqueness theorem and Thom's gradient conjecture, Arnold proposed a stronger version about the existence of limit tangents of gradient flow lines for analy…